• 제목/요약/키워드: By Variables

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A STRONG LAW OF LARGE NUMBERS FOR AANA RANDOM VARIABLES IN A HILBERT SPACE AND ITS APPLICATION

  • Ko, Mi-Hwa
    • 호남수학학술지
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    • 제32권1호
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    • pp.91-99
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    • 2010
  • In this paper we introduce the concept of asymptotically almost negatively associated random variables in a Hilbert space and obtain the strong law of large numbers for a strictly stationary asymptotically almost negatively associated sequence of H-valued random variables with zero means and finite second moments. As an application we prove a strong law of large numbers for a linear process generated by asymptotically almost negatively random variables in a Hilbert space with this result.

SOME CONVERGENCE THEOREM FOR AND RANDOM VARIABLES IN A HILBERT SPACE WITH APPLICATION

  • Han, Kwang-Hee
    • 호남수학학술지
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    • 제36권3호
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    • pp.679-688
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    • 2014
  • The notion of asymptotically negative dependence for collection of random variables is generalized to a Hilbert space and the almost sure convergence for these H-valued random variables is obtained. The result is also applied to a linear process generated by H-valued asymptotically negatively dependent random variables.

선형 음의 사분 종속확률변수에서 가중합에 대한 수렴성 연구 (Convergence of weighted sums of linearly negative quadrant dependent random variables)

  • 이승우;백종일
    • 한국신뢰성학회지:신뢰성응용연구
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    • 제12권4호
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    • pp.265-274
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    • 2012
  • We in this paper discuss the strong law of large numbers for weighted sums of arrays of rowwise LNQD random variables by using a new exponential inequality of LNQD r.v.'s under suitable conditions and we obtain one of corollary.

Sharp Expectation Bounds on Extreme Order Statistics from Possibly Dependent Random Variables

  • Yun, Seokhoon
    • Communications for Statistical Applications and Methods
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    • 제11권3호
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    • pp.455-463
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    • 2004
  • In this paper, we derive sharp upper and lower expectation bounds on the extreme order statistics from possibly dependent random variables whose marginal distributions are only known. The marginal distributions of the considered random variables may not be the same and the expectation bounds are completely determined by the marginal distributions only.

COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF AANA RANDOM VARIABLES AND ITS APPLICATION IN NONPARAMETRIC REGRESSION MODELS

  • Shen, Aiting;Zhang, Yajing
    • 대한수학회지
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    • 제58권2호
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    • pp.327-349
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    • 2021
  • In this paper, we main study the strong law of large numbers and complete convergence for weighted sums of asymptotically almost negatively associated (AANA, in short) random variables, by using the Marcinkiewicz-Zygmund type moment inequality and Roenthal type moment inequality for AANA random variables. As an application, the complete consistency for the weighted linear estimator of nonparametric regression models based on AANA errors is obtained. Finally, some numerical simulations are carried out to verify the validity of our theoretical result.

의복의 사이즈 체계 설정을 위한 신체 발달 경향에 대한 연구 (A Study on the Developmental Trend of the Human body for the establishment of the Apparel Sizing System -on the high school boys and girls between age 16 and 18-)

  • 김구자;이순원
    • 한국의류학회지
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    • 제15권1호
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    • pp.48-60
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    • 1991
  • The purpose of this study is to analyze the pattern of human developmental growth with empirical anthropometric data for clothing construction. The sample was drawn randomly out of senior high school boys and girls in seoul urban area. The sample size was 424 boys and 301 girls between age 16 and 18. Dependent variables of this study were modified after extraction of common variables from raw data. 42 dependent variables were analyzed by the method of Duncan Test as Multiple Range Test among three age groups and T-Test between male and female of same age groups. The analysis of these data was carried with spss-x package by the computer installed in INHA University. The major findings can be summarized as follows. 1. In Duncan Test, female students between age 16 and 18 were not significantly different in the majority of dependent variables, but girth measurements and weight of 17 and 18 age groups were significantly different from that of 16 age groups. 2. In Duncan Test, male students were significantly different in the majority of the dependent variables, especially 33 variabls from 42 variables, among three age groups. 3. In T-Test, hip girth was only not significantly different between male and female and neck girth of the female students was only significantly larger than that of the male students.

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An Exploration of Dynamical Relationships between Macroeconomic Variables and Stock Prices in Korea

  • Lee, Jung Wan;Brahmasrene, Tantatape
    • The Journal of Asian Finance, Economics and Business
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    • 제5권3호
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    • pp.7-17
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    • 2018
  • This paper examines short-run and long-run dynamic relationships between selected macroeconomic variables and stock prices in the Korea Stock Exchange. The data is restricted to the period for which monthly data are available from January 1986 to October 2016 (370 observations) retrieved from the Economic Statistics System database sponsored by the Bank of Korea. The study employs unit root test, cointegration test, vector error correction estimates, impulse response test, and structural break test. The results of the Johansen cointegration test indicate at least three cointegrating equations exist at the 0.05 level in the model, confirming that there is a long-run equilibrium relationship between stock prices and macroeconomic variables in Korea. The results of vector error correction model (VECM) estimates indicate that money supply and short-term interest rate are not related to stock prices in the short-run. However, exchange rate is positively related to stock prices while the industrial production index and inflation are negatively related to stock prices in the short-run. Furthermore, the VECM estimates indicate that the external shock, such as regional and global financial crisis shocks, neither affects changes in the endogenous variables nor causes instability in the cointegrating vector. This study finds that the endogenous variables are determined by their own dynamics in the model.

체계론적 관점에서 본 가정의 주관적 재정복지에 관한 연구 (The Subjective Financial Well-Being Among Urban Households Based on a System's Approach)

  • 김연정;김순미
    • 가정과삶의질연구
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    • 제9권2호
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    • pp.103-117
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    • 1991
  • The purpose of this study was to investigate causal relations of resources and demands, family financial management and subjective financial wee-being among urban households by applying a system's approach. The data were collected through the questionnaire whose respondent were 455 housewives in Seoul. The data were analyzed by various statistical methods such as Frequency. Percentile, ANOVA , F-test, T-test, Pearson's correlation analysis, Multiple Regression Analysis. Path Analysis. The results of this research were as follows. 1) The level of subjective financial wee-being among urban households exceeded the middle level. It had significant differences according to resource variables such as age of housewife. education level of housewife, housewife's occupation, househead's occupation. per capita income, debt/net asset ratio, and according to demand variables such as aspiration, expectancy, perception of financial progress, relative deprivation. 2) The level of subjective financial well-being among urban households according to level of family financial management capability has significant differences. Therefore, the higher family financial management capability, the higher level of subjective financial well-being. 3) Among all variables affecting the subjective financial well-being among urban households. aspiration had the highest relative influence on the subjective financial well-being and per capita income, occupation of househead and family financial management variables were in this order. 4) Among all variables affecting the subjective financial well-being among urban households aspiration, occupation of househead, per capita income and finacial management variables had direct effect on subjective financial well-being . Besides housewife's education level, aspiration and per capita income had indirect effect on it through family financial management.

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기혼여성(며느리, 딸)의 노부모 부양스트레스와 영향변인에 관한 연구 (A Study on the Married Daughters' Caregiving Strss and the Influential Variables)

  • 이신숙
    • 대한가정학회지
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    • 제32권4호
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    • pp.57-71
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    • 1994
  • The purpose of this research was to study the variables related to the stress and to provide the way of establishing better relationship between aged parents and adult offsprings and the way of effective care-giving. In order to achieve this purpose a survey was conducted by interview using questionaire. The collected data were analyzed by using frequency percentage mean standard deviation factor analysis Pearson's correlation analysis, ANOVA, and stepwise regression analysis. The results of this research were as follows: First The total points of daughter-in-laws' caregicing stress was 38.5 and daughter's caregiving stress was 27.3. Second There were meaningful differences according to living arrangement daughters-in-law age, old mothers' health status. And there were significant. interaction effects among variables of living arrangement and daughters-in-law' age, living arrangement and birth order birth order and old mothers' health status. living arrangement and daughters-in-law' age and old mothers' health status. Third There were meaningful differences according to living arrangement daughter's age. And there were significant interaction effects among variables of living arrangement and daughter's age, daughter's age and birth order, living arrangement and daughter's age and old mothers' health status, living arrangement and birth order and old mothers' health status. Fourth Among daughters-in-law' variables living arrangement age, old mothers' health status have influence on the care-giving stress. Among daughter's variables living arrangement, age, birth order have influence on the care-giving stress.

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